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Finding the Fourth Proportional to 198.23, 295.61 and 177.75

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Solution

The fourth proportional to 198.23, 295.61 and 177.75 is: 265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 295.61 = 177.75 : x
  2. Step 2: Convert to fraction form
    198.23/295.61 = 177.75/x
  3. Step 3: Cross multiply
    198.23x = 295.61 × 177.75
  4. Step 4: Simplify right side
    198.23x = 52,543.79
  5. Step 5: Solve for x
    x = 52,543.79/198.23
  6. Step 6: Final answer
    x = 265.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.